The Alpha company takes a survey of the age for all employees. The average age is 35 with a standard deviation of 3.2 years. The results for a normal distribution curve. If the company has 985 workers, how many are over 44 years old?

Use a normal distribution table or a statistical calculator to answer this question. A farm produces 10,000 eggs in a day. The mean mass of an egg is 59 grams. The standard deviation is 5 grams. An egg is "extra-large" if it has a mass between 63 and 69 grams. To the nearest ten eggs, how many extra-large eggs does the farm produce in a day?

Identify the data value corresponding to the indicated percentile. The amount of sleep an adult gets per day is normally distributed with a mean of 7 hours and a standard deviation of 1.5 hours. Five percent of adults sleep more than how many hours per day?

As part of a study, 800 college football players are randomly chosen and their weights taken. The distribution of the weights is approximately normal. The average weight is 235 pounds and the standard deviation is 25 pounds. Approximately how many players had weights between 260 pounds and 285 pounds? Select one: a. 432 b. 108 C. none of these d. 216 400 e.

In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 19 with a standard deviation of 18 days. Assume the data to be approximately bell-shaped. Approximately 95% of all customer accounts have the average number of days between two values A and B. What is the value of B? Write only a number as your answer.

Students in the psychology department at General State University consumes an average of 7 sodas per day with a standard deviation of 2.5.  the distribution is normal.  Explain how you would go about answering the following questions (include your answer to the question in your response): How many sodas would an individual at the 75thpercentile drink per day?

A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago.  Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years.  The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old.  Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old. Choose the correct answer from the parenthesis. (i)  Hypotheses       ?0:   ?  =  ( 0, 2.2, 22.7, 24.3, 25, 40) ______________ .     ?1:    ?  =  ( < , > ) ______________   ( 0, 2.2, 22.7, 24.3, 25, 40) ________________ . (ii)  Test Statistic     ( z/ t )…

Suppose the exam average in a class is 55% with a standard deviation of 4. What proportion of students scored about 57%. Round two places.

According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a standard deviation of $8000. Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn at most $50,000. Round your answer to at least four decimal places.

The lifespans of lizards in particular zoo are normally distributed. The average lizard lives 3.1 yearsthe standard deviation is 0.6 years. Find the probability that the lizards live longer than 3.1 years or less than 2.5 yearsHint: Draw and label a normal curve and use the percentages of the standard deviations. Write your answer using only numbers and do not include units. For example 95.3% would be entered as 95.3